Invariance Principles for Jackknifing U-Statistics for Finite Population Sampling and Some Applications.

Descriptive Note:

Interim rept.,

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF BIOSTATISTICS

Personal Author(s):

Report Date:

1978-01-01

Pagination or Media Count:

22.0

Abstract:

For simple random sampling without replacement from a finite population, suitable stochastic processes are constructed from the entire sequence of jackknife estimators based on functions of U-statistics and these are approximated in distribution by some Brownian bridge processes. Strong convergence of the Tukey estimator of the variance of jackknife U-statistics has also been established. Some applications of these results in sequential analysis relating to finite population sampling are also considered. Author